Further Topics with Centres of Mass (AQA A-Level Further Maths): Quizzes

A thin, flat plate with uniform density

$\delta m = \rho y \delta x$

$(x, \frac{1}{2}y)$

The total area of the lamina

$\int_a^b xy \, dx$

$\int_a^b \frac{1}{2}y^2 \, dx$

$\delta m = \rho \pi y^2 \delta x$

$\bar{y} = 0$ by symmetry

$\int_a^b xy^2 \, dx$

Vertically below the suspension point